1657164145 has 64 divisors (see below), whose sum is σ = 2571770880. Its totient is φ = 1002253824.

The previous prime is 1657164127. The next prime is 1657164161. The reversal of 1657164145 is 5414617561.

It is not a de Polignac number, because 1657164145 - 2¹¹ = 1657162097 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1657164098 and 1657164107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1768117 + ... + 1769053.

It is an arithmetic number, because the mean of its divisors is an integer number (40183920).

Almost surely, 2^1657164145 is an apocalyptic number.

It is an amenable number.

1657164145 is a deficient number, since it is larger than the sum of its proper divisors (914606735).

1657164145 is an equidigital number, since it uses as much as digits as its factorization.

1657164145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 985 counting only the distinct ones).

The product of its digits is 100800, while the sum is 40.

The square root of 1657164145 is about 40708.2810371551. The cubic root of 1657164145 is about 1183.3735084334.

The spelling of 1657164145 in words is "one billion, six hundred fifty-seven million, one hundred sixty-four thousand, one hundred forty-five".